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Bi-univalent characteristics for a particular class of Bazilevič functions generated by convolution using Bernoulli polynomials

Publication Type : Journal Article

Source : Arab Journal of Basic and Applied Sciences

Url : https://www.tandfonline.com/doi/full/10.1080/25765299.2024.2406147

Campus : Chennai

School : School of Engineering

Year : 2024

Abstract : Special functions and special polynomials have been used and studied widely in the context of Geometric function theory of Complex Analysis by the many authors. Here, in our present investigations, making use of the convolution, we first introduce a new subclass of Bazilevivč bi-univalent functions involving the Bernoulli Polynomials. We then find the first two Taylor-Maclaurin coefficient |𝑎2| and |𝑎3| for our defined functions class. We then calculate the bounds for the Fekete Szegö inequality for the defined function class. Also some known consequences of our main results are highlighted in the form of Corollaries.

Cite this Research Publication : G. Saravanan, S. Baskaran,Jihad Younis,Bilal Khan, Musthafa Ibrahim, Bi-univalent characteristics for a particular class of Bazilevič functions generated by convolution using Bernoulli polynomials, Arab Journal of Basic and Applied Sciences, 2024.

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